Q. 229 - Intermediate Algebra

Question

Simplify:

$\sqrt{3}·\sqrt{21}$

Step-by-Step Solution

Answer

The value of the given expression is $3\sqrt{7}$

Step 1. Given information

The given expression is $\sqrt{3}·\sqrt{21}$

Step 2. Simplifying the expression

We know that, $\sqrt[n]{a}·\sqrt[n]{b}=\sqrt[n]{ab}$

Then,

$$\begin{gathered} \sqrt{3}·\sqrt{21}=\sqrt{3·21} \\ =\sqrt{63} \\ =\sqrt{9·7} \\ =3\sqrt{7} [\sqrt{9}=3] \end{gathered}$$